Thouless-Anderson-Palmer equation for analog neural network with temporally fluctuating white synaptic noise

Details Thouless-Anderson-Palmer equation for analog neural network with temporally fluctuating white synaptic noise Thouless-Anderson-Palmer equation for analog neural network with temporally fluctuating white synaptic noise

2007-06-14

arxiv.org/abs/0706.2048v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, 3 figures

Scientific paper

10.1088/1751-8113/40/31/002

Effects of synaptic noise on the retrieval process of associative memory neural networks are studied from the viewpoint of neurobiological and biophysical understanding of information processing in the brain. We investigate the statistical mechanical properties of stochastic analog neural networks with temporally fluctuating synaptic noise, which is assumed to be white noise. Such networks, in general, defy the use of the replica method, since they have no energy concept. The self-consistent signal-to-noise analysis (SCSNA), which is an alternative to the replica method for deriving a set of order parameter equations, requires no energy concept and thus becomes available in studying networks without energy functions. Applying the SCSNA to stochastic network requires the knowledge of the Thouless-Anderson-Palmer (TAP) equation which defines the deterministic networks equivalent to the original stochastic ones. The study of the TAP equation which is of particular interest for the case without energy concept is very few, while it is closely related to the SCSNA in the case with energy concept. This paper aims to derive the TAP equation for networks with synaptic noise together with a set of order parameter equations by a hybrid use of the cavity method and the SCSNA.

Affiliated with

Also associated with

No associations

Rating

Thouless-Anderson-Palmer equation for analog neural network with temporally fluctuating white synaptic noise does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Thouless-Anderson-Palmer equation for analog neural network with temporally fluctuating white synaptic noise, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thouless-Anderson-Palmer equation for analog neural network with temporally fluctuating white synaptic noise will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-330567